Solve 7/5f=7/sqrt{x-8}

$$\frac{ 7 }{ 5 } f = \frac{ 7 }{ \sqrt{ x-8 } }$$

Solve for f (complex solution)

$$f=5\left(x-8\right)^{-\frac{1}{2}}$$

$$x\neq 8$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{7}{5}f=\frac{7}{\sqrt{x-8}}$$

Divide both sides of the equation by \frac{7}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{7}{5}f}{\frac{7}{5}}=\frac{7\left(x-8\right)^{-\frac{1}{2}}}{\frac{7}{5}}$$

Dividing by \frac{7}{5} undoes the multiplication by \frac{7}{5}.

$$f=\frac{7\left(x-8\right)^{-\frac{1}{2}}}{\frac{7}{5}}$$

Divide 7\left(x-8\right)^{-\frac{1}{2}} by \frac{7}{5} by multiplying 7\left(x-8\right)^{-\frac{1}{2}} by the reciprocal of \frac{7}{5}.

$$f=5\left(x-8\right)^{-\frac{1}{2}}$$

Solve for f

$$f=\frac{5}{\sqrt{x-8}}$$

$$x>8$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{7}{5}f=\frac{7}{\sqrt{x-8}}$$

Divide both sides of the equation by \frac{7}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{7}{5}f}{\frac{7}{5}}=\frac{7}{\frac{7}{5}\sqrt{x-8}}$$

Dividing by \frac{7}{5} undoes the multiplication by \frac{7}{5}.

$$f=\frac{7}{\frac{7}{5}\sqrt{x-8}}$$

Divide \frac{7}{\sqrt{x-8}} by \frac{7}{5} by multiplying \frac{7}{\sqrt{x-8}} by the reciprocal of \frac{7}{5}.

$$f=\frac{5}{\sqrt{x-8}}$$

Solve for x (complex solution)

$$x=8+\frac{25}{f^{2}}$$

$$|-\pi +arg(-\sqrt{\frac{1}{f^{2}}}f)|<\pi \text{ and }f\neq 0$$

Solve for x

$$x=8+\frac{25}{f^{2}}$$

$$f>0$$